Computer Science and Engineering is an engineering disciple,which focus on the subject "COMPUTER",from hardware to software, and is taught across most universities in South Asia. Some of the most prominent ones are the India Institute of Technologies. Most universities offer B.Tech (Computer Science and Engineering) as bachelor degree and M.Tech(Computer Science and Engineering) as post graduate degree.
Candidates enrolled for the discipline are required to study basics of all core engineering along with papers from the main subject. Engineering Mathematics is also given prime importance.
Some of the Main subjects that are taught in Computer Science and Engineering are::
- Engineering Mathematics
- Engineering Physics
- Engineering Chemistry &Environmental Studies
- Engineering Mechanics
- Engineering Graphics
- Basic Civil Engineering
- Basic Mechanical Engineering
- Basic Electrical Engineering
- Basic Electronics Engineering & Information Technology
- Problem Solving and Computer Programming
- Computer Organization
- Switching Theory and Logic Design
- Electronics Devices and Circuits
- Object Oriented Programming
- Data Structures and Algorithms
- Signals and Communication Systems
- Microprocessor Systems
- Theory of Computation
- Principles of Management
- Database Management Systems
- Digital Signal Processing
- Operating Systems
- Advanced Microprocessors & Peripherals
- Design and Analysis of Algorithms
- Internet Computing
- System Software
- Computer Networks
- Software Engineering
- Distributed Systems
- Micro controller Based Systems
- User Interface Design
- UNIX Shell Programming
- Embedded Systems
- Advanced Software Environments
- Web Technologies
- Compiler Construction
- Computer Graphics
- Object Oriented Modeling & Design
- Principles of Programming Languages
- Systems Programming
- Real Time Systems
- Data Mining and Data Warehousing
- Operating System Kernel Design
- Digital image processing
- Data Processing and File Structures
- Client Server and Applications
- High Performance Computing
- Artificial Intelligence
- Security in Computing
- E-commerce
- Grid Computing
- Bioinformatics
- Optimization Techniques
- Mobile Computing
- Advanced networking trends
- Multimedia Techniques
- Neural networks
- Advanced Mathematics
- Software Architecture
- Natural Language Processing
- Pattern Recognition
Engineering Mathematics
MATRIX Elementary transformation – echelon form – rank using elementary transformation by reducing in to echelon form – solution of linear homogeneous and non – homogeneous equations using elementary transformation. Linear dependence and independence of vectors – eigen values and eigen vectors – properties of eigen values and eigen vectors– Linear transformation – Orthogonal transformation – Diagonalisation – Reduction of quadratic form into sum of squares using orthogonal transformation – Rank, index, signature of quadratic form – nature of quadratic form PARTIAL DIFFERENTIATION Partial differentiation : chain rules – statement of Eulers theorem for homogeneous functions – Jacobian – Application of Taylors series for function of two variables – maxima and minima of function of two variables MULTIPLE INTEGRALS Double integrals in cartesian and polar co-ordinates – change of order of integration- area using double integrals – change of variables using Jacobian – triple integrals in cartesian, cylindrical and spherical coordinates – volume using triple integrals – change of variables using Jacobian – simple problems. ORDINARY DIFFERENTIAL EQUATIONS Linear differential equation with constant coefficients- complimentary function and particular integral – Finding particular integral using method of variation of parameters – Euler Cauchy equations- Legenders equations LAPLACE TRANSFORMS Laplace Transforms – shifting theorem –differentiation and integration of transform – Laplace transforms of derivatives and integrals – inverse transform – application of convolution property – Laplace transform of unit step function – second shifting theorem(proof not expected) – Laplace transform of unit impulse function and periodic function – solution of linear differential equation with constant coefficients using Laplace Transform. Fourier series Dirichlet conditions – Fourier series with period 2 π and 2l – Half range sine and cosine series – Harmonic Analysis – r.m.s Value Fourier Transform Statement of Fourier integral theorem – Fourier transforms – derivative of transforms- convolution theorem (no proof) – Parsevals identity Partial differential equations Formation by eliminating arbitrary constants and arbitrary functions – solution of Lagrange’s equation – Charpits method –solution of Homogeneous partical differential equations with constant coefficients Probability distribution Concept of random variable , probability distribution – Bernoulli’s trial – Discrete distribution – Binomial distribution – its mean and variance- fitting of Binominal distribution – Poisson distribution as a limiting case of Binominal distribution – its mean and variance – fitting of Poisson distribution – continuous distribution- Uniform distribution – exponential distribution – its mean and variance – Normal distribution – Standard normal curve- its properties Testing of hypothesis Populations and Samples – Hypothesis – level of significance – type I and type II error – Large samples tests – test of significance for single proportion, difference of proportion, single mean, difference of mean – chi –square test for variance- F test for equality of variances for small samples Finite differences Finite difference operators ∆,∇ ,E ,μ δ - interpolation using Newtons forward and backward formula –Newton’s divided difference formula - Numerical differentiation using Newtons forward and backward formula – Numerical integration – Trapezoidal rule – Simpsons 1/3rd and 3/8th rule Z transforms Definition of Z transforms – transform of polynomial function and trignometric functions – shifting property , convolution property - inverse transformation – solution of 1st and 2nd order difference equations with constant coifficients using Z transforms. Discrete numeric functions Discrete numeric functions – Manipulations of numeric functions- generating functions –Recurrence relations – Linear recurrence relations with constant coefficients – Homogeneous solutions – Particular solutions – Total solution – solution by the method of generating functions. Complex integration Functions of complex variable – analytic function - Line integral – Cauchy’s integral theorem – Cauchy’s integral formula – Taylor’s series- Laurent’s series – Zeros and singularities – types of singularities – Residues – Residue theorem – evaluation of real integrals in unit circle – contour integral in semi circle when poles lie on imaginary axis. Queueing Theory General concepts – Arrival pattern – service pattern – Queue disciplines – The Markovian model M/M/1/ , M/M/1/N – steady state solutions – Little’s formula. Engineering Physics
LASERS AND HOLOGRAPHY Lasers- Principle of laser- Absorption- Spontaneous emission- Stimulated emission- Characteristics of laser - Population inversion- Metastable states- Pumping- Pumping Methods- Pumping Schemes- 3 level and 4 level pumping- Optical resonator- Components of laser- Typical laser systems like Ruby laser- He-Ne laser- Semiconductor laser- Applications of laser- Holography- Basic principle -Recording and reconstruction- comparison with ordinary photography- Applications of Hologram NANOTECHNOLOGY AND SUPERCONDUCTIVITY Introduction to nanoscale science and technology- nanostructures-nanoring, nanorod, nanoparticle, nanoshells- Properties of nanoparticles- optical, electrical, magnetic, mechanical properties and Quantum confinement- Classification of nanomaterials- C60, metallic nanocomposites and polymer nanocomposites- Applications of nanotechnology B. Superconductivity- Introduction- Properties of super conductors- Zero electrical resistance- Critical temperature- Critical current- Critical magnetic field- Meissner effect- Isotope effect- Persistence of current- Flux quantization - Type I and Type II superconductors- BCS Theory (Qualitative study) – Josephson effect- D.C Josephson effect- A.C Joseph son effect- Applications of superconductors. CRYSTALLOGRAPHY AND MODERN ENGINEERING MATERIALS A. Crystallography – Space lattice- Basis- Unit cell- Unit cell parameters- Crystal systems- Bravais lattices- Three cubic lattices-sc, bcc, and fcc- Number of atoms per unit cell- Co-ordination number- Atomic radius- Packing factor- Relation between density and crystal lattice constants- Lattice planes and Miller indices- Separation between lattice planes in sc- Bragg’s law- Bragg’s x-ray spectrometer- Crystal structure analysis. Liquid crystals- Liquid crystals, display systems-merits and demerits- Metallic glasses- Types of metallic glasses (Metal-metalloid glasses, Metal-metal glasses) – Properties of metallic glasses (Structural, electrical, magnetic and chemical properties) Shape memory alloys- Shape memory effect, pseudo elasticity. ULTRASONICS A. Ultrasonics- Production of ultrasonics- Magnetostriction method – Piezoelectric method- Properties of ultrasonics- Non destructive testing- Applications B. Spectroscopy- Rayleigh scattering (Qualitative) - Raman effect – Quantum theory of Raman effect- Experimental study of Raman effect and Raman spectrum- Applications of Raman effect C. Acoustics- Reverberation- Reverbaration time- Absorption of sound- Sabine’s formula(no derivation)- Factors affecting acoustics properties FIBRE OPTICS Principle and propagation of light in optical fibre- Step index (Single Mode and Multi Mode fibre) and graded index fibre- N.A. and acceptance angle—Characteristics of optical fibres (Pulse dispersion, attenuation, V-number, Bandwidth-distance product) – Applications of optical fibres- Fibre optic communication system (Block diagram)- Optical fibre sensors (any five) – Optical fibre bundle.
References
- www.cse.iitd.ernet.in
- www.cse.iitk.ac.in
- www.cse.iitb.ac.in
- www.iitg.ac.in/cse